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# Jump Start Your Teaching Career With Our Indiana CORE Math Test Prep Courses

MathHelp.com offers 2 complete Indiana CORE math prep courses with a personal math teacher. Don’t let math hold you back from getting certified to become the teacher you deserve to be!

#### About the Indiana State Tests

The Indiana CORE Assessments for Educator Licensure:

• is a twenty-first-century program featuring a new generation of technologically advanced and customized assessments.
• will help the Department of Education meet its goals of ensuring that candidates have the developmental (pedagogy) and content area knowledge and skills needed to teach effectively in Indiana public schools.
• is based on the REPA Indiana Educator Standards, and is aligned with state and national standards for educator preparation and with state standards for the P–12 student curriculum (Indiana Common Core State Standards and Indiana Academic Standards).

The tests included in the program are criterion referenced and standards based. Criterion-referenced tests are designed to measure a candidate’s knowledge and skills in relation to an established standard of performance (a criterion), rather than in relation to the performance of other candidates. The tests are aligned with the REPA Indiana Educator Standards. The program is composed of the following tests:

• Core Academic Skills Assessment: Tests of reading, writing, and mathematics that may be used to satisfy entrance requirements at Indiana educator preparation programs
• Developmental (pedagogy) area tests
• Content area tests

Tests are computer-based. All tests include multiple-choice questions, and some tests also include one or more constructed-response assignments. The available testing time varies by test and ranges between 45 minutes and 135 minutes. There is a 15-minute tutorial on computer-based testing prior to each test, which is not counted as part of the testing time.

#### CHAPTER 1: WHOLE NUMBERS

##### Unit 1: Number Concepts

Place Value

Comparing Numbers

Rounding

##### Unit 2: Addition and Subtraction

Subtraction

Estimating Sums and Differences

##### Unit 3: Multiplication and Division

Multiplication

Exponents

Division

Estimating Products and Quotients

Multiplication and Division Word Problems

##### Unit 4: Variables and Properties

Variables

Multiplication Properties

#### CHAPTER 2: INTEGERS

##### Unit 1: Integers and the Number Line

Graphing and Writing Integers

Comparing Integers

Opposites and Absolute Value

Subtraction

Multiplication

Division

##### Unit 3: Order of Operations and Word Problems

Word Problems

Order of Operations

#### CHAPTER 3: FRACTIONS

##### Unit 1: Factors and Multiples

Divisibility Rules

Factors and Primes

Prime Factorization

Multiples and Least Common Multiples

Greatest Common Factor

##### Unit 2: Fractions and Mixed Numbers

Introduction to Fractions

Equivalent Fractions (Part I)

Lowest Terms

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

##### Unit 3: Comparing Fractions

Comparing Proper Fractions

Comparing Mixed Numbers and Improper Fractions

##### Unit 4: Addition and Subtraction

Subtracting Mixed Numbers

##### Unit 5: Multiplication and Division

Multiplying Fractions

Multiplying Mixed Numbers

Dividing Fractions

Dividing Mixed Numbers

##### Unit 6: Operations on Rational Numbers

Multiplication and Division

#### CHAPTER 4: DECIMALS

##### Unit 1: Decimal Concept

Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

Comparing Decimals

Rounding Decimals

##### Unit 2: Addition and Subtraction

Estimating Sums and Differences

Subtracting Decimals

Word Problems

##### Unit 3: Multiplication and Division

Multiplying Decimals by Whole Numbers

Multiplying Decimals by Decimals

Dividing Decimals by Whole Numbers

Dividing Decimals by Decimals

Word Problems

##### Unit 4: Scientific Notation

Powers of Ten

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

##### Unit 5: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

#### CHAPTER 5: ALGEBRAIC EXPRESSIONS

##### Unit 1: Patterns

Patterns with Whole Numbers

Patterns with Fractions, Decimals, and Integers

##### Unit 2: Evaluating and Simplifying Expressions

Evaluation

Combining Like Terms

Distributive Property

Distributive / Like Terms

#### CHAPTER 6: EQUATIONS & INEQUALITIES IN ONE VARIABLE

##### Unit 1: Beginning Equations

Using Algebra Tiles to Model Algebraic Equations

One-Step Equations

Two-Step Equations

Equations with Fractions

##### Unit 2: Multi-Step Equations

Equations Involving Distributive

Variable on Both Sides

Variable on Both Sides / Distributive

##### Unit 3: Equations with Decimals

Integer Solutions

Decimal Solutions

##### Unit 4: Formulas

Beginning Formulas

##### Unit 5: Inequalities

Introduction to Inequalities

Solving and Graphing Inequalities

#### CHAPTER 7: RATIO, PROPORTION, & PERCENT

##### Unit 1: Ratios and Rates

Introduction to Ratios

Equal Ratios

Unit Rate

Unit Price

##### Unit 2: Proportion

Introduction to Proportion

Solving Proportions

Word Problems

##### Unit 3: Percent Concept

Understanding Percents

Fractions and Percents

Decimals and Percents

##### Unit 4: Percent Problems

Percent Problems

Percent Increase or Decrease

Discount

Sales Tax

Interest

#### CHAPTER 8: WORD PROBLEMS

##### Unit 1: Modeling Expressions and Equations

Translating English to Algebra

Writing and Solving Equations

Modeling Two-Step Equations

##### Unit 2: Beginning Word Problems

Number Problems

Geometry Problems

##### Unit 3: Advanced Word Problems

Value Problems

Interest Problems

Introductory Motion Problems

#### CHAPTER 9: GRAPHING, FUNCTIONS, AND TRANSFORMATIONS

##### Unit 1: Functions

The Coordinate Grid

Domain and Range

Definition of a Function

##### Unit 2: Graphing Functions

Evaluating and Graphing Functions

Graphing within a Given Domain

##### Unit 3: Graphing Lines and Inequalities in Two Variables

Graphing Lines

The Intercept Method

Graphing Inequalities in Two Variables

Symmetry

Transformations

Reflections

Translations

Rotations

Dilations

#### CHAPTER 10: LINEAR EQUATIONS

##### Unit 1: Patterns and Linear Functions

Patterns and Table Building

Word Problems and Table Building

##### Unit 2: Slope

Slope as a Rate of Change

Using the Graph of a Line to Find Slope

Using Slope to Graph a Line

Using Coordinates to Find Slope

##### Unit 3: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Linear Parent Graph and Transformations

##### Unit 4: Equations of Lines

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

#### CHAPTER 11: SYSTEMS OF LINEAR EQUATIONS

By Graphing

By Substitution

##### Unit 2: Word Problems

Number and Value Problems

#### CHAPTER 12: EXPONENTS

##### Unit 1: Exponent Rules

The Product Rule

The Power Rule

The Quotient Rule

##### Unit 2: Exponents and Numerical Bases

Numerical Bases and Exponents of Zero

#### CHAPTER 13: INTRODUCTION TO GEOMETRY

##### Unit 1: Basic Figures

Points, Lines, Planes, and Space

Segments, Rays, and Length

Angles and Measure

Angle Addition Postulate and Angle Bisector

##### Unit 2: Reasoning

Inductive vs. Deductive Reasoning

Conditional Statements

##### Unit 3: Beginning Proof

Properties

Algebra Proofs with Properties

Geometry Proofs with Midpoints and Angle Bisectors

#### CHAPTER 14: ANGLE PAIRS AND GEOMETRIC FIGURES

##### Unit 1: Angle Pairs

Complementary and Supplementary Angles (Part 1)

##### Unit 2: Triangles

Angles of a Triangle

Sides of a Triangle

##### Unit 3: Parallel Lines and Transversals

Vocabulary

Given Lines are Parallel

##### Unit 4: Polygons and Angles

Vocabulary

Sum of Interior and Exterior Angles

Regular Polygons

Circles

##### Unit 6: Three-Dimensional Figures

Classifying 3-Dimensional Figures

Nets

Perspective Drawings

#### CHAPTER 15: CONGRUENCE AND SIMILARITY

##### Unit 1: Congruency

Congruent Figures

##### Unit 2: Similarity

Properties of Similar Polygons

Angle-Angle Similarity Postulate

Word Problems

#### CHAPTER 16: MEASUREMENT

##### Unit 1: Units of Measurement

Customary Unit Conversions

Metric Unit Conversions

Units of Measurement

Perimeter

Circumference

Word Problems

##### Unit 3: Area

Area of Squares and Rectangles

Area of Triangles

Area of Parallelograms and Trapezoids

Area of a Circle

Word Problems

##### Unit 4: Surface Area and Volume

Surface Area

Volume of Prisms and Pyramids

Volume of Cylinders, Spheres, and Cones

Word Problems

##### Unit 5: Right Triangles

Square Roots

Using Square Roots to Solve Equations

Pythagorean Theorem

Pythagorean Triples

#### CHAPTER 17: STATISTICS AND PROBABILITY

##### Unit 1: Common Graphs and Charts

Pictographs and Line Plots

Bar Graphs

Line Graphs

Circle Graphs

##### Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

Histograms

Dependency and Correlational Relationships

Scatterplots and Trends

##### Unit 3: Central Tendency

Range, Median, and Mode

Box-and-Whisker Plots

Mean

Word Problems

##### Unit 4: Probability

Simple Probability

Experimental Probability

Probability of Independent Events

Probability of Dependent Events

##### Unit 5: Counting Methods

Tree Diagrams and the Counting Principle

Permutations

Combinations

#### CHAPTER 1: EXPONENTS AND PROPERTIES OF REAL NUMBERS

Exponents

##### Unit 2: Properties of Addition and Multiplication

Multiplication Properties

#### CHAPTER 2: INTEGERS AND EVALUATING EXPRESSIONS

##### Unit 1: Introduction to Integers

Graphing and Writing Integers

Comparing Integers

##### Unit 2: Operations with Integers

Multiplication and Division

##### Unit 3: Order of Operations/Evaluation

Order of Operations

Evaluation

Integers

#### CHAPTER 3: UNDERSTANDING FRACTIONS

##### Unit 1: Factors and Multiples

Divisibility Rules

Factors and Primes

Prime Factorization

Multiples and Least Common Multiples

Greatest Common Factor

##### Unit 2: Fractions and Mixed Numbers

Introduction to Fractions

Equivalent Fractions (Part I)

Lowest Terms

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

##### Unit 3: Comparing Fractions

Comparing Proper Fractions

Comparing Mixed Numbers and Improper Fractions

Word Problems

##### Unit 4: Adding and Subtracting Fractions

Subtracting Mixed Numbers

##### Unit 5: Multiplying and Dividing Fractions

Multiplying Fractions

Multiplying Mixed Numbers

Dividing Fractions

Dividing Mixed Numbers

##### Unit 6: Operations with Rational Numbers

Multiplication and Division

#### CHAPTER 4: DECIMALS

##### Unit 1: Decimal Concepts

Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

##### Unit 2: Comparing and Rounding Decimals

Comparing Decimals

Rounding Decimals

##### Unit 3: Estimating and Problem Solving

Estimating Sums and Differences

Word Problems

Word Problems

##### Unit 4: Scientific Notation

Powers of Ten

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

##### Unit 5: Decimals and Rational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

#### CHAPTER 5: SIMPLIFYING EXPRESSIONS & SOLVING EQUATIONS

##### Unit 1: Patterns

Recognizing Patterns

##### Unit 2: Simplifying Algebraic Expressions

Combining Like Terms

Distributive Property

Distributive / Like Terms

##### Unit 3: Solving One- and Two-Step Equations

One-Step Equations

Two-Step Equations

Equations with Fractions

##### Unit 4: Solving Multi-Step Equations

Equations Involving Distributive

Variable on Both Sides

Variable on Both Sides / Fractions

Variable on Both Sides / Distributive

##### Unit 5: Equations with Fractions and Decimals

Integer Solutions

Decimal Solutions

Fractional Solutions

##### Unit 6: Literal Equations and Formulas

Beginning Formulas

#### CHAPTER 6: RATIO, PROPORTION, & PERCENT

##### Unit 1: Ratios and Rates

Introduction to Ratios

Equal Ratios

Unit Rate

Unit Price

##### Unit 2: Proportions

Introduction to Proportion

Solving Proportions

Word Problems

##### Unit 3: Percent, Decimals, and Fractions

Understanding Percents

Fractions and Percents

Decimals and Percents

##### Unit 4: Percent Problems

Percent Problems

Percent Increase or Decrease

Discount

Sales Tax

Interest

#### CHAPTER 7: WORD PROBLEMS

##### Unit 1: Beginning Word Problems

Number Problems

Consecutive Integer Problems

Geometry Problems

##### Unit 2: Value/Interest Problems

Value Problems

Interest Problems

##### Unit 3: Mixture/Motion Problems

Mixture Problems

Introductory Motion Problems

#### CHAPTER 8: INEQUALITIES AND ABSOLUTE VALUE

##### Unit 1: Linear Inequalities in One Variable

Solving and Graphing Inequalities

Combined Inequalities

##### Unit 2: Absolute Value Equations & Inequalities

Absolute Value Equations

Absolute Value Inequalities

#### CHAPTER 9: GRAPHING AND TRANSFORMATIONS

##### Unit 1: The Rectangular Coordinate System

The Coordinate Grid

Transformations

Reflections

Translations

Rotations

Dilations

#### CHAPTER 10: FUNCTIONS AND GRAPHING

##### Unit 1: Introduction to Functions

Domain and Range

Definition of a Function

Function and Arrow Notation

##### Unit 2: Graphing Functions

Graphing within a Given Domain

Graphing Lines

The Intercept Method

##### Unit 3: Linear Inequalities in Two Variables

Graphing Inequalities in Two Variables

#### CHAPTER 11: LINEAR EQUATIONS AND FUNCTIONS

##### Unit 1: Slope and Rate of Change

Slope as a Rate of Change

Using the Graph of a Line to Find Slope

Using Slope to Graph a Line

Using Coordinates to Find Slope

##### Unit 2: Slope Intercept Form and Graphs

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Linear Parent Graph and Transformations

##### Unit 3: Writing Equations in Slope-Intercept Form

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

##### Unit 4: Direct Variation and Applications of Linear Equations

Direct Variation

Applications of Direct Variation and Linear Functions

##### Unit 5: Equations of Lines in Standard Form

Standard Form

The Point-Slope Formula

Given Two Points

Parallel and Perpendicular

#### CHAPTER 12: SYSTEMS OF LINEAR EQUATIONS

By Graphing

By Substitution

##### Unit 2: Systems of Equations and Word Problems

Number and Value Problems

Wind and Current Problems

#### CHAPTER 13: EXPONENTS AND POLYNOMIALS

##### Unit 1: Exponent Rules

The Product Rule

The Power Rule

The Quotient Rule

##### Unit 2: Advanced Exponent Problems

Numerical Bases and Exponents of Zero

Combining Exponent Rules

##### Unit 3: Multiplying Polynomials

The Distributive Property

F.O.I.L.

#### CHAPTER 14: FACTORING

##### Unit 1: Greatest Common Factor

Rules for Finding the G.C.F.

Factoring Out the G.C.F.

##### Unit 2: Factoring Special Polynomials

Special Trinomials with Positive Constant

Special Trinomials with Negative Constant

Difference of Two Squares

##### Unit 3: Factoring Trinomials

Coefficient on x2 Term, Positive Constant

Coefficient on x2 Term, Negative Constant

Factoring Out G.C.F. as First Step

Basic Technique

Factoring Difference of Two Squares as Last Step

##### Unit 5: Solving Polynomial Equations

Beginning Equations

Intermediate Equations

#### CHAPTER 15: RATIONAL EXPRESSIONS AND EQUATIONS

##### Unit 1: Simplifying Rational Expressions

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

##### Unit 2: Advanced Rational Expressions

Subtracting Rational Expressions

Complex Fractions

##### Unit 3: Rational Equations

Beginning Rational Equations

#### CHAPTER 16: RADICAL EXPRESIONS AND EQUATIONS

Square Roots

##### Unit 2: Multiplying and Dividing Radical Expressions

Beginning Equations

##### Unit 1: Quadratic Graphs and Transformations

Graphs of Quadratic Functions and Beginning Transformations

##### Unit 2: Completing the Square

Square Rooting Both Sides

Beginning Completing The Square

#### CHAPTER 18: IMAGINARY AND COMPLEX NUMBERS

##### Unit 1: Imaginary Numbers

Beginning Imaginary Numbers

##### Unit 2: Complex Numbers

Beginning Complex Numbers

#### CHAPTER 19: QUADRATIC FUNCTIONS AND GRAPHING

##### Unit 1: Vertex Form

Understanding y - k = a(x - h)2 Form

Graphing Quadratic Equations in y - k = a(x - h)2 Form

Writing Quadratic Equations in y - k = a(x - h)2 Form

#### CHAPTER 20: INTRODUCTION TO GEOMETRY

##### Unit 1: Segments and Length

Points, Lines, Planes, and Space

Segments, Rays, and Length

##### Unit 2: Angles

Angles and Measure

Angle Addition Postulate and Angle Bisector

##### Unit 3: Reasoning

Inductive vs. Deductive Reasoning

Conditional Statements

##### Unit 4: Beginning Proofs

Properties

Algebra Proofs with Properties

Geometry Proofs with Midpoints and Angle Bisectors

#### CHAPTER 21: ANGLE PAIRS AND PERPENDICULAR LINES

##### Unit 1: Angle Pairs

Complementary and Supplementary Angles (Part 1)

Complementary and Supplementary Angles (Part 2)

Vertical Angles

##### Unit 2: Perpendicular Lines

Problems Involving Perpendicular Lines

Theorems Involving Perpendicular Lines

#### CHAPTER 22: PARALLEL LINES AND POLYGONS

##### Unit 1: Parallel Lines

Vocabulary

Given Lines are Parallel

Proving Lines are Parallel

##### Unit 2: Angles of a Triangle

Vocabulary and Triangle Sum Theorem

Word Problems and Exterior Angle Theorem

##### Unit 3: Polygons

Vocabulary

Sum of Interior and Exterior Angles

Regular Polygons

#### CHAPTER 23: TRIANGLES AND CONGRUENCE

##### Unit 1: Beginning Concepts

Congruent Figures

Proving Triangles are Congruent by SSS, SAS, and ASA

Isosceles Triangle Theorems

Proving Triangles are Congruent by AAS and HL

Medians, Altitudes, and Perpendicular Bisectors

##### Unit 1: Parallelograms

Properties of Parallelograms

Proving a Quadrilateral is a Parallelogram

More Parallel Line Theorems

Rectangles, Rhombuses, and Squares

Trapezoids

#### CHAPTER 25: SIMILARITY

Ratio

Proportion

##### Unit 2: Similar Polygons

Properties of Similar Polygons

Angle-Angle Similarity Postulate

Word Problems

##### Unit 3: Similarity Theorems

SSS and SAS Similarity Theorems

Triangle Proportionality and Triangle Angle-Bisector Theorems

#### CHAPTER 26: RIGHT TRIANGLES

##### Unit 1: Pythagorean Theorem

The Pythagorean Theorem

Word Problems

Converse of the Pythagorean Theorem

##### Unit 2: Special Right Triangles

30-60-90 and 45-45-90 degree Triangles (Part I)

30-60-90 and 45-45-90 degree Triangles (Part II)

##### Unit 3: Trigonometry

Sine, Cosine, and Tangent (Part I)

Sine, Cosine, and Tangent (Part II)

Word Problems

#### CHAPTER 27: CIRCLES

Vocabulary

Tangents

##### Unit 2: Arcs, Central Angles, and Chords

Arcs and Central Angles

Beginning Arcs and Chords

##### Unit 3: Angles and Segments

Inscribed Angles

Angles Formed by Chords, Secants, and Tangents

##### Unit 4: Segment Lengths

Theorems and Beginning Problems

#### CHAPTER 28: MEASUREMENT AND AREA

##### Unit 1: Units of Measurement

Customary Unit Conversions

Metric Unit Conversions

Units of Measurement

##### Unit 2: Area of Rectangles, Squares, and Parallelograms

Area of Rectangles and Squares (Part I)

Area of Rectangles and Squares (Part II)

Area of Parallelograms

##### Unit 3: Area of Triangles, Rhombuses, and Trapezoids

Area of Triangles

Area of Rhombuses

Area of Trapezoids

##### Unit 4: Area of Polygons and Circles

Area of Regular Polygons

Area and Circumference of Circles

#### CHAPTER 29: VOLUME

##### Unit 1: Prisms

Vocabulary, Formulas, and Right Rectangular Prisms

##### Unit 2: Pyramids

Vocabulary, Formulas, and Regular Square Pyramids

##### Unit 3: Cylinders, Cones, and Spheres

Cylinders and Cones

Spheres

#### CHAPTER 30: DATA AND STATISTICS

##### Unit 1: Common Graphs and Charts

Pictographs and Line Plots

Bar Graphs

Line Graphs

Circle Graphs

##### Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

Histograms

Scatterplots and Trends

##### Unit 3: Central Tendency

Range, Median, and Mode

Box-and-Whisker Plots

Mean

Word Problems

##### Unit 4: Probability

Simple Probability

Experimental Probability

Probability of Independent Events

Probability of Dependent Events

##### Unit 5: Counting Methods

Tree Diagrams and the Counting Principle

Permutations

Combinations

#### CHAPTER 31: COORDINATE GEOMETRY

Distance Formula

Midpoint Formula

##### Unit 2: Circles in the Coordinate Plane

Equation of a Circle

#### CHAPTER 32: NEGATIVE & RATIONAL EXPONENTS

##### Unit 1: Simplifying Expressions with Negative Exponents

Negative Exponents

Negative Exponent Rules

Multiplying and Dividing with Negative Exponents

##### Unit 2: Operations with Scientific Notation

Multiplying and Dividing Scientific Notation

##### Unit 3: Rational Exponents and Radical Expressions

Rational Exponents

Fractional Exponents

##### Unit 4: Equations with Rational Exponents and Simplifying with Radical Exponents

Solving Equations with Rational Exponents

#### CHAPTER 33: COMPOSITE FUNCTIONS & INVERSES

##### Unit 1: Composite Functions

Composite Functions: f(g(x)) and g(f(x))

##### Unit 2: Inverses

Inverse Relations

Inverse Functions

#### CHAPTER 34: LOGARITHMS & EXPONENTIAL FUNCTIONS

##### Unit 1: Introduction to Logarithms

Logarithms and Logarithmic Functions

Solving Logarithmic Equations

##### Unit 2: Properties of Logarithms

Logarithm Rules and Properties

Evaluating Logarithms by Condensing or Expanding

##### Unit 3: Evaluating Logarithms with a Calculator

Log Calculator Problems

##### Unit 4: Exponential Equations and Logarithms

Exponential Equations and Change of Base Formula

Exponential Growth and Decay

Half Life Formula and Doubling Time Formula

##### Unit 5: The Natural Logarithm

Natural Logarithms

Solving Natural Logarithm Equations with ln and e